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Is (x2)2+1=2x3(x-2)^2+1=2x-3 a quadratic equation, then find the roots

A3,1

B4,2

C0,5

D1,4

Answer:

B. 4,2

Read Explanation:

(x2)2+1=2x3(x-2)^2+1=2x-3

x24x+4+1=2x3x^2-4x+4+1=2x-3

x24x+52x+3=0x^2-4x+5-2x+3=0

x26x+8=0x^2-6x+8=0

Which is a quadratic equation.

a=1,b=6,c=8a=1,b=-6,c=8

Sum of roots = -6

Product of roots = 8

    x=4,2\implies{x=4, 2}


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